Use a half-angle formula to find the exact value of the expression.

Answer:

e

Step-by-step explanation:

e

Answer:

6

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

y-y1=m(x-x1)

y-20=12(x-3)

[tex]y-20+20=12\left(x-3\right)+20[/tex]

simplify:

[tex]y=12x-16[/tex]

81+54x because 9 *9 = 81 and 9*6 is 54 and add the x to it and put it all together.

Answer:

a) P(X > 207.50) = 0.0808

b) P(X-bar > 193.5) = 0.7734

c) It matters only in sampling distribution when we does not know the shape of distribution.

Step-by-step explanation:

Given - The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.9 cm.

To find - a. Find the probability that an individual distance is greater than 207.50 cm.

              b. Find the probability that the mean for 20 randomly selected distances is greater than 193.50 cm.

              c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30 ?

Proof -

Given that,

μ = 195 cm

σ = 8.9 cm

a)

P(X > 207.50) = 1 - P(X < 207.5)

                       = 1 - P(Z < [tex]\frac{207.5 - 195}{8.9}[/tex] )

                       = 1 - P(Z < 1.4)

                       = 1 - 0.9192

                       = 0.0808

⇒P(X > 207.50) = 0.0808

b)

n = 20

μₓ- = μ = 195

σₓ⁻ = [tex]\frac{\sigma}{\sqrt{n} }[/tex] = [tex]\frac{8.9}{\sqrt{20} }[/tex] = 1.99

Now,

P(X-bar > 193.5) = 1 - P(X-bar < 193.5)

                          = 1 - P(Z < [tex]\frac{193.5 - 195}{1.99}[/tex] )

                          = 1 - P(Z < -0.75)

                          = 1 - 0.2266

                          = 0.7734

⇒P(X-bar > 193.5) = 0.7734

c)

Given that If the population is normally distributed , then the sample does not have to be greater than 30.

It matters only in sampling distribution when we does not know the shape of distribution.

Answer: 8 , -4 I think

Step-by-step explanation:

Answer:

The real answer is (8, -4) and (-6, -4)

Answer:

180 and 2.5

Step-by-step explanation:

for the second collum over 3 it would be 180

For the one under 150 it would be 2.5

let me know if you need a better explanation

Answer:

3=45   150=5              

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The value of the interquartile range of the data below is 5.

The difference between the third and the first quartile is defined by the interquartile range. There are so three quartiles.

The first quartile, also known as the lower quartile, is marked by Q1, the second quartile by Q2, and the third quartile, sometimes known as the upper quartile, is denoted by Q3. The lower quartile less the upper quartile equals the interquartile range.

From the Plot we can write

Minimum = 27

Lower quartile = 32

Median = 36

Upper Quartile = 37

Maximum = 40

So, Interquartile range (IQR)

= Third Quartile (Q3) - First Quartile (Q1)

= 37 - 32

= 5

Learn more about IQR here:

https://brainly.com/question/16361595

#SPJ7

Answer:

Y = (1/2)x - 2

Step-by-step explanation:

To compose a linear equation, always use the form

Y = Mx + C where C is the y-intercept and M is the gradient.

In this case, pick any 2 points on the graph to solve for M

e.g (8,2) and (6,1)

Gradient = (2 - 1) /(8 -6) given by (y1 - y2) / (x1 - x2) = 1 / 2

Substitute into the form, we get

Y = (1/2)x + C

Now, we use any point again on the graph,

e.g (6,1) and substitute as (x, y) into the above function.

We will get 1 = (6)(0.5) + C

C = -2

Piece them up and u get the full function.

Answer:

Step-by-step explanation:

Let the speed of Baba Yaga is x

The distance to Bald Mountain:

The distance she actually travelled is less by 40 km:

The time she spent:

Solve for x to find the speed:

Solving the quadratic equation we get:

Answer:

Step-by-step explanation:

n o The angle terminates in Quadrant II In degrees, the reference angle for the given angle is 30°.

Answer:

6.98

Step-by-step explanation:

You just round the seven up

Answer:

1/3

Step-by-step explanation:

You add up the amount in each bag then you take the amount of green then that will be the answer but since there is 2 bags it is 1/3

Answer:

Integrate from 3 to 1 and then you should get 4/3

So C.

Answer:

in a span of 30 years, the family would pay $40,410 in rent.

Step-by-step explanation:

you simply multiply $1,347 by 30!

(comment any questions)

Answer:

8

Step-by-step explanation:

Answer:

What is the Greatest Common Factor of 8 and 16? Greatest common factor (GCF) of 8 and 16 is 8.

Answer:

A) x > -5

Step-by-step explanation:

Answer:

32/24 is equivalent to 12/19

yes

Answer:

That is a ratio. Like for every 5 blue cards there are 7 red cards, read the context and you'll be able to see the ratio.

Step-by-step explanation:

Hope this helps :)

Answer:

The area of the grass covered by the sprinkler water is approximately 78.54 feet^2

Answer:

78.54 feet

Step-by-step explanation:

10 is the diameter so 5 is the radius,

A = πr2 = π·52 ≈ 78.53982

Answer:

Mean

Step-by-step explanation:

best measure of central tendency to use when your data distribution is continuous and symmetrical

*it depends on what you are trying to show from this set of data!

Answer:

2.13kg

Step-by-step explanation:

fnet=ma

17=m(8)

17÷8 =m

2.13=m

Answer:

The mass is 2¹/₈, or 2.125, kg

Step-by-step explanation:

We know that force is equal to mass times acceleration, so given a force of 17 newtons and an acceleration of 8m/s², we can say:

[tex]f = ma\\m = f/a\\m = \frac{17\ N}{8\ m/s^2}\\m = \frac{17\ kg\times m/s^2}{8\ m/s^2}\\m = 17/8\ kg\\m = 2.125 kg[/tex]

giving us a mass of 2¹/₈, or 2.125 kg.

Answer: 6%

Step-by-step explanation: Step 1: We make the assumption that 2000 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=2000$.

Step 4: In the same vein, x%=120.

Step 5: This gives us a pair of simple equations:

100%=2000(1).

x%=120(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

[tex]\frac{100\%}{x\%}=\frac{2000}{120}[/tex]

Step 7: Taking the inverse (or reciprocal) of both sides yields

[tex]\frac{x\%}{100\%}=\frac{120}{2000}[/tex]

[tex]\Rightarrow x=6\%[/tex]

Therefore, 120 is 6% of 2000$.

Step-by-step explanation:

Howdy, did you do a, b, and c by yourself? Because there are some slight issues, so I'll do my best to explain.

a. 3x+5x

We know that x=2, so we can substitute 2 in for x right now, or we can combine like terms.

3x and 5x both have the variable x so we can add them easily to get 8x. If you substitute in 2, you're just multiplying 8×2, which is 16.

b. 5z+4z+z

Again, since

we know that z=-3, we can substitute in now, or we can combine like terms first. 5z, 4z, and z all have the variable x, we addition is easy. 5+4+1=10, so you'll have 10z. Substitute in -3 for z, and you're just multiplying 10×-3=-30

c. 3x+6+5x

This is trickier since 6 doesn't have the variable x. So to combine like terms means to only add 3x and 5x. So the equation will turn out looming like 8x+6. now substitute in 2 for x and you get

8(2)+6

16+6

22

d. 8y+8-4y

Combine like terms

4y+8

substitute in 5 for y

4(5)+8

20+8

28

e. 5z-4z+z

combine like terms

z+z

2z

substitute -3 for z

2(-3)

-6

f. 3x+6+5x-2

combine like terms

(so that's 3x+5x and 6-2)

8x+4

substitute in 2 for x

8(2)+4

16+4

20

g. 8y+8-4y-3

combine like terms

8y-4y+8-3

4y+5

substitute in 5 for y

4(5)+5

20+5

25

h. 5z-4z+z-3z

combine like terms

-z

substitute in -3 for z

-(-3)

double negatives make a positive

3

Answer:

option 2 and 3

b+6=11

b+4=9

Answer:

1. 8 - b = 13

Step-by-step explanation:

It says for which equation is b = 5 not the solution.

So, we need to plug in 5 into every b, and find out which one is incorrect.

1. 8 - 5 = 13 (incorrect)

2. 5 + 6 (correct)

3. 5 + 4 = 9 (correct)

4. 12 - 5 = 7 (correct)

Therefore, option 1 is the answer to your question.

Answer:

if the worker has more experience, then they will have longer shifts because they will be better at their job and be able to complete more tasks.

Step-by-step explanation:

use and "if then because" structure in a hypothesis, and use common logic based on the info provided :)

Answer:

[tex]H_{0}[/tex] : Work experience is independent of the time of an employee's shift

[tex]H_{A}[/tex] : Work experience is dependent on the time of an employee's shift

Step-by-step explanation:

Since we have one population but multiple variables, so we are using a chi-square test of independence. Thus, our null should be that there is no association, and the alternative that there IS an association.